Finding the Third Proportional to 144,825.50 and 302,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,825.50 : 302,892.50 = 302,892.50 : x
2. Step 2: Convert to fraction form
   144,825.50/302,892.50 = 302,892.50/x
3. Step 3: Cross multiply
   144,825.50x = 302,892.50 × 302,892.50
4. Step 4: Simplify right side
   144,825.50x = 91,743,866,556.25
5. Step 5: Solve for x
   x = 91,743,866,556.25/144,825.50
6. Step 6: Final answer
   x = 633,478.68